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Finding the Fourth Proportional to 10,853.18, 14,980.77 and 7,069.70

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Solution

The fourth proportional to 10,853.18, 14,980.77 and 7,069.70 is: 9,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.18 : 14,980.77 = 7,069.70 : x
  2. Step 2: Convert to fraction form
    10,853.18/14,980.77 = 7,069.70/x
  3. Step 3: Cross multiply
    10,853.18x = 14,980.77 × 7,069.70
  4. Step 4: Simplify right side
    10,853.18x = 105,909,549.67
  5. Step 5: Solve for x
    x = 105,909,549.67/10,853.18
  6. Step 6: Final answer
    x = 9,758.39

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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.