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Finding the Fourth Proportional to 10,152.30, 14,009.03 and 5,675.91

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Solution

The fourth proportional to 10,152.30, 14,009.03 and 5,675.91 is: 7,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.30 : 14,009.03 = 5,675.91 : x
  2. Step 2: Convert to fraction form
    10,152.30/14,009.03 = 5,675.91/x
  3. Step 3: Cross multiply
    10,152.30x = 14,009.03 × 5,675.91
  4. Step 4: Simplify right side
    10,152.30x = 79,513,965.77
  5. Step 5: Solve for x
    x = 79,513,965.77/10,152.30
  6. Step 6: Final answer
    x = 7,832.11

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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.