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Finding the Fourth Proportional to 10,178.34, 14,045.94 and 5,702.06

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Solution

The fourth proportional to 10,178.34, 14,045.94 and 5,702.06 is: 7,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.34 : 14,045.94 = 5,702.06 : x
  2. Step 2: Convert to fraction form
    10,178.34/14,045.94 = 5,702.06/x
  3. Step 3: Cross multiply
    10,178.34x = 14,045.94 × 5,702.06
  4. Step 4: Simplify right side
    10,178.34x = 80,090,775.08
  5. Step 5: Solve for x
    x = 80,090,775.08/10,178.34
  6. Step 6: Final answer
    x = 7,868.75

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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.