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Finding the Fourth Proportional to 8,748.64, 13,117.20 and 7,458.40

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Solution

The fourth proportional to 8,748.64, 13,117.20 and 7,458.40 is: 11,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,748.64 : 13,117.20 = 7,458.40 : x
  2. Step 2: Convert to fraction form
    8,748.64/13,117.20 = 7,458.40/x
  3. Step 3: Cross multiply
    8,748.64x = 13,117.20 × 7,458.40
  4. Step 4: Simplify right side
    8,748.64x = 97,833,324.48
  5. Step 5: Solve for x
    x = 97,833,324.48/8,748.64
  6. Step 6: Final answer
    x = 11,182.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.