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Finding the Fourth Proportional to 7,866.63, 10,856.07 and 4,509.36

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Solution

The fourth proportional to 7,866.63, 10,856.07 and 4,509.36 is: 6,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.63 : 10,856.07 = 4,509.36 : x
  2. Step 2: Convert to fraction form
    7,866.63/10,856.07 = 4,509.36/x
  3. Step 3: Cross multiply
    7,866.63x = 10,856.07 × 4,509.36
  4. Step 4: Simplify right side
    7,866.63x = 48,953,927.82
  5. Step 5: Solve for x
    x = 48,953,927.82/7,866.63
  6. Step 6: Final answer
    x = 6,222.99

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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.