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Finding the Fourth Proportional to 10,486.89, 15,733.06 and 3,913.13

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Solution

The fourth proportional to 10,486.89, 15,733.06 and 3,913.13 is: 5,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.89 : 15,733.06 = 3,913.13 : x
  2. Step 2: Convert to fraction form
    10,486.89/15,733.06 = 3,913.13/x
  3. Step 3: Cross multiply
    10,486.89x = 15,733.06 × 3,913.13
  4. Step 4: Simplify right side
    10,486.89x = 61,565,430.41
  5. Step 5: Solve for x
    x = 61,565,430.41/10,486.89
  6. Step 6: Final answer
    x = 5,870.70

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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.