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Finding the Fourth Proportional to 10,869.32, 14,996.07 and 7,510.93

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Solution

The fourth proportional to 10,869.32, 14,996.07 and 7,510.93 is: 10,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.32 : 14,996.07 = 7,510.93 : x
  2. Step 2: Convert to fraction form
    10,869.32/14,996.07 = 7,510.93/x
  3. Step 3: Cross multiply
    10,869.32x = 14,996.07 × 7,510.93
  4. Step 4: Simplify right side
    10,869.32x = 112,634,394.55
  5. Step 5: Solve for x
    x = 112,634,394.55/10,869.32
  6. Step 6: Final answer
    x = 10,362.60

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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.