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Finding the Fourth Proportional to 10,303, 14,218.14 and 5,587.29

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Solution

The fourth proportional to 10,303, 14,218.14 and 5,587.29 is: 7,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303 : 14,218.14 = 5,587.29 : x
  2. Step 2: Convert to fraction form
    10,303/14,218.14 = 5,587.29/x
  3. Step 3: Cross multiply
    10,303x = 14,218.14 × 5,587.29
  4. Step 4: Simplify right side
    10,303x = 79,440,800.35
  5. Step 5: Solve for x
    x = 79,440,800.35/10,303
  6. Step 6: Final answer
    x = 7,710.45

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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.