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Finding the Fourth Proportional to 7,040.16, 9,715.86 and 4,056.39

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Solution

The fourth proportional to 7,040.16, 9,715.86 and 4,056.39 is: 5,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.16 : 9,715.86 = 4,056.39 : x
  2. Step 2: Convert to fraction form
    7,040.16/9,715.86 = 4,056.39/x
  3. Step 3: Cross multiply
    7,040.16x = 9,715.86 × 4,056.39
  4. Step 4: Simplify right side
    7,040.16x = 39,411,317.35
  5. Step 5: Solve for x
    x = 39,411,317.35/7,040.16
  6. Step 6: Final answer
    x = 5,598.07

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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.