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Finding the Fourth Proportional to 10,541.95, 14,559.85 and 7,178.93

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Solution

The fourth proportional to 10,541.95, 14,559.85 and 7,178.93 is: 9,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.95 : 14,559.85 = 7,178.93 : x
  2. Step 2: Convert to fraction form
    10,541.95/14,559.85 = 7,178.93/x
  3. Step 3: Cross multiply
    10,541.95x = 14,559.85 × 7,178.93
  4. Step 4: Simplify right side
    10,541.95x = 104,524,134.73
  5. Step 5: Solve for x
    x = 104,524,134.73/10,541.95
  6. Step 6: Final answer
    x = 9,915.07

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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.