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Finding the Fourth Proportional to 7,041.64, 9,718.48 and 4,056.90

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Solution

The fourth proportional to 7,041.64, 9,718.48 and 4,056.90 is: 5,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.64 : 9,718.48 = 4,056.90 : x
  2. Step 2: Convert to fraction form
    7,041.64/9,718.48 = 4,056.90/x
  3. Step 3: Cross multiply
    7,041.64x = 9,718.48 × 4,056.90
  4. Step 4: Simplify right side
    7,041.64x = 39,426,901.51
  5. Step 5: Solve for x
    x = 39,426,901.51/7,041.64
  6. Step 6: Final answer
    x = 5,599.11

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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.