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Finding the Fourth Proportional to 8,971.86, 13,438.56 and 7,298.04

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Solution

The fourth proportional to 8,971.86, 13,438.56 and 7,298.04 is: 10,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.86 : 13,438.56 = 7,298.04 : x
  2. Step 2: Convert to fraction form
    8,971.86/13,438.56 = 7,298.04/x
  3. Step 3: Cross multiply
    8,971.86x = 13,438.56 × 7,298.04
  4. Step 4: Simplify right side
    8,971.86x = 98,075,081.23
  5. Step 5: Solve for x
    x = 98,075,081.23/8,971.86
  6. Step 6: Final answer
    x = 10,931.42

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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.