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Finding the Fourth Proportional to 12,962.06, 17,886.71 and 7,296.51

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Solution

The fourth proportional to 12,962.06, 17,886.71 and 7,296.51 is: 10,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.06 : 17,886.71 = 7,296.51 : x
  2. Step 2: Convert to fraction form
    12,962.06/17,886.71 = 7,296.51/x
  3. Step 3: Cross multiply
    12,962.06x = 17,886.71 × 7,296.51
  4. Step 4: Simplify right side
    12,962.06x = 130,510,521.90
  5. Step 5: Solve for x
    x = 130,510,521.90/12,962.06
  6. Step 6: Final answer
    x = 10,068.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.