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Finding the Fourth Proportional to 7,863.65, 10,851.93 and 4,506.60

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Solution

The fourth proportional to 7,863.65, 10,851.93 and 4,506.60 is: 6,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.65 : 10,851.93 = 4,506.60 : x
  2. Step 2: Convert to fraction form
    7,863.65/10,851.93 = 4,506.60/x
  3. Step 3: Cross multiply
    7,863.65x = 10,851.93 × 4,506.60
  4. Step 4: Simplify right side
    7,863.65x = 48,905,307.74
  5. Step 5: Solve for x
    x = 48,905,307.74/7,863.65
  6. Step 6: Final answer
    x = 6,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.