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Finding the Fourth Proportional to 10,158.08, 15,242.93 and 5,478.06

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Solution

The fourth proportional to 10,158.08, 15,242.93 and 5,478.06 is: 8,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.08 : 15,242.93 = 5,478.06 : x
  2. Step 2: Convert to fraction form
    10,158.08/15,242.93 = 5,478.06/x
  3. Step 3: Cross multiply
    10,158.08x = 15,242.93 × 5,478.06
  4. Step 4: Simplify right side
    10,158.08x = 83,501,637.63
  5. Step 5: Solve for x
    x = 83,501,637.63/10,158.08
  6. Step 6: Final answer
    x = 8,220.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.