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Finding the Fourth Proportional to 10,503.38, 14,484.93 and 7,666.26

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Solution

The fourth proportional to 10,503.38, 14,484.93 and 7,666.26 is: 10,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.38 : 14,484.93 = 7,666.26 : x
  2. Step 2: Convert to fraction form
    10,503.38/14,484.93 = 7,666.26/x
  3. Step 3: Cross multiply
    10,503.38x = 14,484.93 × 7,666.26
  4. Step 4: Simplify right side
    10,503.38x = 111,045,210.71
  5. Step 5: Solve for x
    x = 111,045,210.71/10,503.38
  6. Step 6: Final answer
    x = 10,572.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.