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Finding the Fourth Proportional to 8,314.72, 12,418.16 and 7,533.16

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Solution

The fourth proportional to 8,314.72, 12,418.16 and 7,533.16 is: 11,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.72 : 12,418.16 = 7,533.16 : x
  2. Step 2: Convert to fraction form
    8,314.72/12,418.16 = 7,533.16/x
  3. Step 3: Cross multiply
    8,314.72x = 12,418.16 × 7,533.16
  4. Step 4: Simplify right side
    8,314.72x = 93,547,986.19
  5. Step 5: Solve for x
    x = 93,547,986.19/8,314.72
  6. Step 6: Final answer
    x = 11,250.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.