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Finding the Fourth Proportional to 10,456.80, 15,678.72 and 4,911.36

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Solution

The fourth proportional to 10,456.80, 15,678.72 and 4,911.36 is: 7,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.80 : 15,678.72 = 4,911.36 : x
  2. Step 2: Convert to fraction form
    10,456.80/15,678.72 = 4,911.36/x
  3. Step 3: Cross multiply
    10,456.80x = 15,678.72 × 4,911.36
  4. Step 4: Simplify right side
    10,456.80x = 77,003,838.26
  5. Step 5: Solve for x
    x = 77,003,838.26/10,456.80
  6. Step 6: Final answer
    x = 7,364.00

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