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Finding the Fourth Proportional to 10,405.47, 15,580.80 and 6,235.59

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Solution

The fourth proportional to 10,405.47, 15,580.80 and 6,235.59 is: 9,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.47 : 15,580.80 = 6,235.59 : x
  2. Step 2: Convert to fraction form
    10,405.47/15,580.80 = 6,235.59/x
  3. Step 3: Cross multiply
    10,405.47x = 15,580.80 × 6,235.59
  4. Step 4: Simplify right side
    10,405.47x = 97,155,480.67
  5. Step 5: Solve for x
    x = 97,155,480.67/10,405.47
  6. Step 6: Final answer
    x = 9,336.96

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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.