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Finding the Fourth Proportional to 7,007, 9,683.60 and 5,746.08

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Solution

The fourth proportional to 7,007, 9,683.60 and 5,746.08 is: 7,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007 : 9,683.60 = 5,746.08 : x
  2. Step 2: Convert to fraction form
    7,007/9,683.60 = 5,746.08/x
  3. Step 3: Cross multiply
    7,007x = 9,683.60 × 5,746.08
  4. Step 4: Simplify right side
    7,007x = 55,642,740.29
  5. Step 5: Solve for x
    x = 55,642,740.29/7,007
  6. Step 6: Final answer
    x = 7,941.02

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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.