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Finding the Fourth Proportional to 10,215.86, 15,328.47 and 6,064.10

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Solution

The fourth proportional to 10,215.86, 15,328.47 and 6,064.10 is: 9,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.86 : 15,328.47 = 6,064.10 : x
  2. Step 2: Convert to fraction form
    10,215.86/15,328.47 = 6,064.10/x
  3. Step 3: Cross multiply
    10,215.86x = 15,328.47 × 6,064.10
  4. Step 4: Simplify right side
    10,215.86x = 92,953,374.93
  5. Step 5: Solve for x
    x = 92,953,374.93/10,215.86
  6. Step 6: Final answer
    x = 9,098.93

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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.