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Finding the Fourth Proportional to 8,316.08, 11,476.12 and 4,590

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Solution

The fourth proportional to 8,316.08, 11,476.12 and 4,590 is: 6,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.08 : 11,476.12 = 4,590 : x
  2. Step 2: Convert to fraction form
    8,316.08/11,476.12 = 4,590/x
  3. Step 3: Cross multiply
    8,316.08x = 11,476.12 × 4,590
  4. Step 4: Simplify right side
    8,316.08x = 52,675,390.80
  5. Step 5: Solve for x
    x = 52,675,390.80/8,316.08
  6. Step 6: Final answer
    x = 6,334.16

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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.