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Finding the Fourth Proportional to 10,590.58, 15,888.49 and 7,476.68

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Solution

The fourth proportional to 10,590.58, 15,888.49 and 7,476.68 is: 11,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.58 : 15,888.49 = 7,476.68 : x
  2. Step 2: Convert to fraction form
    10,590.58/15,888.49 = 7,476.68/x
  3. Step 3: Cross multiply
    10,590.58x = 15,888.49 × 7,476.68
  4. Step 4: Simplify right side
    10,590.58x = 118,793,155.41
  5. Step 5: Solve for x
    x = 118,793,155.41/10,590.58
  6. Step 6: Final answer
    x = 11,216.87

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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.