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Finding the Fourth Proportional to 10,064.64, 15,098.04 and 4,139.76

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Solution

The fourth proportional to 10,064.64, 15,098.04 and 4,139.76 is: 6,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.64 : 15,098.04 = 4,139.76 : x
  2. Step 2: Convert to fraction form
    10,064.64/15,098.04 = 4,139.76/x
  3. Step 3: Cross multiply
    10,064.64x = 15,098.04 × 4,139.76
  4. Step 4: Simplify right side
    10,064.64x = 62,502,262.07
  5. Step 5: Solve for x
    x = 62,502,262.07/10,064.64
  6. Step 6: Final answer
    x = 6,210.08

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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.