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Finding the Fourth Proportional to 10,415.77, 15,624.86 and 6,520.48

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Solution

The fourth proportional to 10,415.77, 15,624.86 and 6,520.48 is: 9,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.77 : 15,624.86 = 6,520.48 : x
  2. Step 2: Convert to fraction form
    10,415.77/15,624.86 = 6,520.48/x
  3. Step 3: Cross multiply
    10,415.77x = 15,624.86 × 6,520.48
  4. Step 4: Simplify right side
    10,415.77x = 101,881,587.13
  5. Step 5: Solve for x
    x = 101,881,587.13/10,415.77
  6. Step 6: Final answer
    x = 9,781.47

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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.