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Finding the Fourth Proportional to 7,298.16, 10,928.16 and 6,264.72

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Solution

The fourth proportional to 7,298.16, 10,928.16 and 6,264.72 is: 9,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.16 : 10,928.16 = 6,264.72 : x
  2. Step 2: Convert to fraction form
    7,298.16/10,928.16 = 6,264.72/x
  3. Step 3: Cross multiply
    7,298.16x = 10,928.16 × 6,264.72
  4. Step 4: Simplify right side
    7,298.16x = 68,461,862.52
  5. Step 5: Solve for x
    x = 68,461,862.52/7,298.16
  6. Step 6: Final answer
    x = 9,380.70

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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.