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Finding the Fourth Proportional to 10,006.83, 15,010.19 and 7,033.02

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Solution

The fourth proportional to 10,006.83, 15,010.19 and 7,033.02 is: 10,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.83 : 15,010.19 = 7,033.02 : x
  2. Step 2: Convert to fraction form
    10,006.83/15,010.19 = 7,033.02/x
  3. Step 3: Cross multiply
    10,006.83x = 15,010.19 × 7,033.02
  4. Step 4: Simplify right side
    10,006.83x = 105,566,966.47
  5. Step 5: Solve for x
    x = 105,566,966.47/10,006.83
  6. Step 6: Final answer
    x = 10,549.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.