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Finding the Fourth Proportional to 10,189.86, 15,281.67 and 7,047.51

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Solution

The fourth proportional to 10,189.86, 15,281.67 and 7,047.51 is: 10,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.86 : 15,281.67 = 7,047.51 : x
  2. Step 2: Convert to fraction form
    10,189.86/15,281.67 = 7,047.51/x
  3. Step 3: Cross multiply
    10,189.86x = 15,281.67 × 7,047.51
  4. Step 4: Simplify right side
    10,189.86x = 107,697,722.14
  5. Step 5: Solve for x
    x = 107,697,722.14/10,189.86
  6. Step 6: Final answer
    x = 10,569.11

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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.