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Finding the Fourth Proportional to 8,585.30, 11,848.88 and 5,182.47

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Solution

The fourth proportional to 8,585.30, 11,848.88 and 5,182.47 is: 7,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.30 : 11,848.88 = 5,182.47 : x
  2. Step 2: Convert to fraction form
    8,585.30/11,848.88 = 5,182.47/x
  3. Step 3: Cross multiply
    8,585.30x = 11,848.88 × 5,182.47
  4. Step 4: Simplify right side
    8,585.30x = 61,406,439.22
  5. Step 5: Solve for x
    x = 61,406,439.22/8,585.30
  6. Step 6: Final answer
    x = 7,152.51

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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.