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Finding the Fourth Proportional to 10,658.60, 14,708.98 and 5,878.74

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Solution

The fourth proportional to 10,658.60, 14,708.98 and 5,878.74 is: 8,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.60 : 14,708.98 = 5,878.74 : x
  2. Step 2: Convert to fraction form
    10,658.60/14,708.98 = 5,878.74/x
  3. Step 3: Cross multiply
    10,658.60x = 14,708.98 × 5,878.74
  4. Step 4: Simplify right side
    10,658.60x = 86,470,269.09
  5. Step 5: Solve for x
    x = 86,470,269.09/10,658.60
  6. Step 6: Final answer
    x = 8,112.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.