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Finding the Fourth Proportional to 10,580.68, 15,868.84 and 4,004.56

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Solution

The fourth proportional to 10,580.68, 15,868.84 and 4,004.56 is: 6,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.68 : 15,868.84 = 4,004.56 : x
  2. Step 2: Convert to fraction form
    10,580.68/15,868.84 = 4,004.56/x
  3. Step 3: Cross multiply
    10,580.68x = 15,868.84 × 4,004.56
  4. Step 4: Simplify right side
    10,580.68x = 63,547,721.91
  5. Step 5: Solve for x
    x = 63,547,721.91/10,580.68
  6. Step 6: Final answer
    x = 6,006.01

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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.