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Finding the Fourth Proportional to 12,710.64, 19,054.68 and 4,807.64

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Solution

The fourth proportional to 12,710.64, 19,054.68 and 4,807.64 is: 7,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.64 : 19,054.68 = 4,807.64 : x
  2. Step 2: Convert to fraction form
    12,710.64/19,054.68 = 4,807.64/x
  3. Step 3: Cross multiply
    12,710.64x = 19,054.68 × 4,807.64
  4. Step 4: Simplify right side
    12,710.64x = 91,607,946.48
  5. Step 5: Solve for x
    x = 91,607,946.48/12,710.64
  6. Step 6: Final answer
    x = 7,207.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.