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Finding the Fourth Proportional to 10,628.47, 14,678.18 and 7,971.67

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Solution

The fourth proportional to 10,628.47, 14,678.18 and 7,971.67 is: 11,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.47 : 14,678.18 = 7,971.67 : x
  2. Step 2: Convert to fraction form
    10,628.47/14,678.18 = 7,971.67/x
  3. Step 3: Cross multiply
    10,628.47x = 14,678.18 × 7,971.67
  4. Step 4: Simplify right side
    10,628.47x = 117,009,607.16
  5. Step 5: Solve for x
    x = 117,009,607.16/10,628.47
  6. Step 6: Final answer
    x = 11,009.07

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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.