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Finding the Fourth Proportional to 10,005.83, 15,008.69 and 7,032.02

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Solution

The fourth proportional to 10,005.83, 15,008.69 and 7,032.02 is: 10,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.83 : 15,008.69 = 7,032.02 : x
  2. Step 2: Convert to fraction form
    10,005.83/15,008.69 = 7,032.02/x
  3. Step 3: Cross multiply
    10,005.83x = 15,008.69 × 7,032.02
  4. Step 4: Simplify right side
    10,005.83x = 105,541,350.79
  5. Step 5: Solve for x
    x = 105,541,350.79/10,005.83
  6. Step 6: Final answer
    x = 10,547.99

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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.