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Finding the Fourth Proportional to 10,953.86, 15,123.39 and 9,772.88

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Solution

The fourth proportional to 10,953.86, 15,123.39 and 9,772.88 is: 13,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.86 : 15,123.39 = 9,772.88 : x
  2. Step 2: Convert to fraction form
    10,953.86/15,123.39 = 9,772.88/x
  3. Step 3: Cross multiply
    10,953.86x = 15,123.39 × 9,772.88
  4. Step 4: Simplify right side
    10,953.86x = 147,799,075.66
  5. Step 5: Solve for x
    x = 147,799,075.66/10,953.86
  6. Step 6: Final answer
    x = 13,492.88

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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.