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Finding the Fourth Proportional to 10,377.78, 14,320.98 and 5,901.45

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Solution

The fourth proportional to 10,377.78, 14,320.98 and 5,901.45 is: 8,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.78 : 14,320.98 = 5,901.45 : x
  2. Step 2: Convert to fraction form
    10,377.78/14,320.98 = 5,901.45/x
  3. Step 3: Cross multiply
    10,377.78x = 14,320.98 × 5,901.45
  4. Step 4: Simplify right side
    10,377.78x = 84,514,547.42
  5. Step 5: Solve for x
    x = 84,514,547.42/10,377.78
  6. Step 6: Final answer
    x = 8,143.80

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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.