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Finding the Fourth Proportional to 10,574.64, 14,485.41 and 10,458

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Solution

The fourth proportional to 10,574.64, 14,485.41 and 10,458 is: 14,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.64 : 14,485.41 = 10,458 : x
  2. Step 2: Convert to fraction form
    10,574.64/14,485.41 = 10,458/x
  3. Step 3: Cross multiply
    10,574.64x = 14,485.41 × 10,458
  4. Step 4: Simplify right side
    10,574.64x = 151,488,417.78
  5. Step 5: Solve for x
    x = 151,488,417.78/10,574.64
  6. Step 6: Final answer
    x = 14,325.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.