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Finding the Fourth Proportional to 7,875.51, 10,864.64 and 5,186.00

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Solution

The fourth proportional to 7,875.51, 10,864.64 and 5,186.00 is: 7,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.51 : 10,864.64 = 5,186.00 : x
  2. Step 2: Convert to fraction form
    7,875.51/10,864.64 = 5,186.00/x
  3. Step 3: Cross multiply
    7,875.51x = 10,864.64 × 5,186.00
  4. Step 4: Simplify right side
    7,875.51x = 56,344,063.17
  5. Step 5: Solve for x
    x = 56,344,063.17/7,875.51
  6. Step 6: Final answer
    x = 7,154.34

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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.