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Finding the Fourth Proportional to 8,006.64, 12,023.28 and 4,948.08

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Solution

The fourth proportional to 8,006.64, 12,023.28 and 4,948.08 is: 7,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.64 : 12,023.28 = 4,948.08 : x
  2. Step 2: Convert to fraction form
    8,006.64/12,023.28 = 4,948.08/x
  3. Step 3: Cross multiply
    8,006.64x = 12,023.28 × 4,948.08
  4. Step 4: Simplify right side
    8,006.64x = 59,492,151.30
  5. Step 5: Solve for x
    x = 59,492,151.30/8,006.64
  6. Step 6: Final answer
    x = 7,430.35

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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.