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Finding the Fourth Proportional to 7,108.10, 9,804.87 and 4,586.16

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Solution

The fourth proportional to 7,108.10, 9,804.87 and 4,586.16 is: 6,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.10 : 9,804.87 = 4,586.16 : x
  2. Step 2: Convert to fraction form
    7,108.10/9,804.87 = 4,586.16/x
  3. Step 3: Cross multiply
    7,108.10x = 9,804.87 × 4,586.16
  4. Step 4: Simplify right side
    7,108.10x = 44,966,702.60
  5. Step 5: Solve for x
    x = 44,966,702.60/7,108.10
  6. Step 6: Final answer
    x = 6,326.13

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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.