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Finding the Fourth Proportional to 7,340.80, 10,125.12 and 4,547.20

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Solution

The fourth proportional to 7,340.80, 10,125.12 and 4,547.20 is: 6,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.80 : 10,125.12 = 4,547.20 : x
  2. Step 2: Convert to fraction form
    7,340.80/10,125.12 = 4,547.20/x
  3. Step 3: Cross multiply
    7,340.80x = 10,125.12 × 4,547.20
  4. Step 4: Simplify right side
    7,340.80x = 46,040,945.66
  5. Step 5: Solve for x
    x = 46,040,945.66/7,340.80
  6. Step 6: Final answer
    x = 6,271.92

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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.