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Finding the Fourth Proportional to 8,746.10, 12,069.64 and 4,767.16

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Solution

The fourth proportional to 8,746.10, 12,069.64 and 4,767.16 is: 6,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.10 : 12,069.64 = 4,767.16 : x
  2. Step 2: Convert to fraction form
    8,746.10/12,069.64 = 4,767.16/x
  3. Step 3: Cross multiply
    8,746.10x = 12,069.64 × 4,767.16
  4. Step 4: Simplify right side
    8,746.10x = 57,537,905.02
  5. Step 5: Solve for x
    x = 57,537,905.02/8,746.10
  6. Step 6: Final answer
    x = 6,578.69

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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.