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Finding the Fourth Proportional to 8,412.87, 11,607.33 and 5,430.45

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Solution

The fourth proportional to 8,412.87, 11,607.33 and 5,430.45 is: 7,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.87 : 11,607.33 = 5,430.45 : x
  2. Step 2: Convert to fraction form
    8,412.87/11,607.33 = 5,430.45/x
  3. Step 3: Cross multiply
    8,412.87x = 11,607.33 × 5,430.45
  4. Step 4: Simplify right side
    8,412.87x = 63,033,025.20
  5. Step 5: Solve for x
    x = 63,033,025.20/8,412.87
  6. Step 6: Final answer
    x = 7,492.45

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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.