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Finding the Fourth Proportional to 10,859.94, 16,298.15 and 7,160.94

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Solution

The fourth proportional to 10,859.94, 16,298.15 and 7,160.94 is: 10,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.94 : 16,298.15 = 7,160.94 : x
  2. Step 2: Convert to fraction form
    10,859.94/16,298.15 = 7,160.94/x
  3. Step 3: Cross multiply
    10,859.94x = 16,298.15 × 7,160.94
  4. Step 4: Simplify right side
    10,859.94x = 116,710,038.46
  5. Step 5: Solve for x
    x = 116,710,038.46/10,859.94
  6. Step 6: Final answer
    x = 10,746.84

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